So if we only vaccinate people who haven't been infected does this mean we only need to vaccinate about 50% of the US population to reach herd immunity?
It depends on the efficacy of the vaccine and the transmission rate, but the numbers can be higher than 90% vaccination rate to achieve heard immunity.
There's a breakdown of the math behind determining this here:
https://www.reddit.com/r/askscience/comments/k9tcv1/if_23_of...